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Finding the Third Proportional to 190,096 and 408,271

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Solution

The third proportional to 190,096 and 408,271 is: 876,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,096 : 408,271 = 408,271 : x
  2. Step 2: Convert to fraction form
    190,096/408,271 = 408,271/x
  3. Step 3: Cross multiply
    190,096x = 408,271 × 408,271
  4. Step 4: Simplify right side
    190,096x = 166,685,209,441
  5. Step 5: Solve for x
    x = 166,685,209,441/190,096
  6. Step 6: Final answer
    x = 876,847.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.